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Finding the Fourth Proportional to 408,054.60, 611,863.20 and 171,129.60

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Solution

The fourth proportional to 408,054.60, 611,863.20 and 171,129.60 is: 256,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,054.60 : 611,863.20 = 171,129.60 : x
  2. Step 2: Convert to fraction form
    408,054.60/611,863.20 = 171,129.60/x
  3. Step 3: Cross multiply
    408,054.60x = 611,863.20 × 171,129.60
  4. Step 4: Simplify right side
    408,054.60x = 104,707,904,670.72
  5. Step 5: Solve for x
    x = 104,707,904,670.72/408,054.60
  6. Step 6: Final answer
    x = 256,602.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.